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Some types of composed operators with coupled coincidence points theorems on multiplicative partial cone metric spaces over Banach algebras and applications
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  • H. Abd El -Ghaffar,
  • S. S. Solieman Almassri,
  • Nashat Faried,
  • Sahar Mohamed Ali Abou Bakr
H. Abd El -Ghaffar
Ain Shams University Faculty of Science

Corresponding Author:[email protected]

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S. S. Solieman Almassri
Ain Shams University Faculty of Science
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Nashat Faried
Ain Shams University Faculty of Science
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Sahar Mohamed Ali Abou Bakr
Ain Shams University Faculty of Science
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Abstract

in this manuscript,we depict the concept of composed operators and then establish the existence and uniqueness of coupled coincidence points of such contractions and other related mappings in the abstract framework of multiplicative cone metric space over Banach algebra with multiplicative algebra solid cone regardless of its normality property. Further, we give illustrative examples to demonstrate the validity of our results proved herein, Eventually, we introduce an application of non-linear integral equations for the existence of a unique solution to support our results. In doing so, we show that some prvious results are consequences of our main presentd results.